[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Volume of cone will be ~
[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \: \: \: \: \: \colorbox{white}{=} \: \: \: + \colorbox{white}{462 \: cm³ }}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the volume of cone with ~
radius (r) = 7 cmheight (h) = 9 cmAnd as we know, volume of cone is equal to ~
[tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]now, let's plug in the values and find the volume ~
[tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex][tex]1 \times 22 \times 7 \times 3[/tex][tex]462 \: \: {cm}^{3} [/tex]Volume of cone is 462 cm³ = 462 ml
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
A similar problem is given at https://brainly.com/question/25694087
For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?
Answer:
x
Step-by-step explanation:
It still would be a negative.
The comparison that Tina wrote incorrectly is X. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The table is given below.
Comparison Number Opposite value
W -3 3
X -(-9) 9
Y 0 0
Z 4 - 4
The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Choose all options that apply.
Hey there!
Guide ⬇️
• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.
• Tablespoon: a abundant (huge) sized spoon that’s used for serving.
• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.
• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.
Based on that information the one that seems closer to the RIGHT answer is:
[Option A. Cup]
[Option B Tablespoon]
[Option D. Fluid Ounce]
Random fact:
• [1 (US) CUP] is approximately [8 (US) OUNCE]
• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)
• [1 FLUID OUNCE] is approximately [28.35 GRAM]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
9514 1404 393
Answer:
a. cup
b. tablespoon
d. fluid ounce
Step-by-step explanation:
The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...
teaspoons
tablespoons (= 3 teaspoons)
fluid ounces (= 2 tablespoons)
cups (= 8 fluid ounces)
pints (= 2 cups)
quarts (= 2 pints)
gallons (= 4 quarts, = 231 cubic inches)
(oil) barrels (= 42 gallons)
and the measurements based on length:
cubic inch
cubic foot (= 1728 cubic inches)
cubic yard (= 27 cubic feet)
acre-foot (= 43560 cubic feet)
__
Above are the fluid measurements. In the US system, there are also dry measures that include ...
gallon (= 268.8025 cubic inches--different from fluid gallon)
peck (= 2 gallons)
bushel (= 4 pecks)
Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5
Answer:
7x-5
Step-by-step explanation:
Is 5.12 times 10n =512
Answer:
it is D
Step-by-step explanation:
I have to show you, but if I do it don't on the paper
A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear
Answer: 252 i think i tried and i think its right
Ln(x)+ln(x+7)=1
solve this log equation
8. What is the relationship between multiplying and factoring?
Answer:
A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1
i really need help last question PLEASE
Answer:
c
Step-by-step explanation:
its in the middle of all the data
Find the shaded area
Answer:
30
Step-by-step explanation:
Can someone please help me with #14 and #15?
14.Given y=2(x - 10)+3, write an equation in point slope and slope intercept form that is:
a) Parallel and goes through (-4,1).
b) Perpendicular and goes through (-4,1).
15.Given 5x+2y=7
a.Find an equation parallel to the equation and through (0,10).
b.Find an equation perpendicular to the equation and through (0,10).
This picture is an example of what the answers should look like.
Problem 14, Part (a)
The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.
Let's find the point slope form of the parallel line through (-4,1)
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]
The point slope form is: y-1 = 2(x+4)Now solve for y to get the slope intercept form.
[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]
The slope intercept form is: y = 2x+9============================================================
Problem 14, Part (b)
The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.
Using the same point (-4,1), we find that the point slope form is...
[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]
The point slope form is: y-1 = (-1/2)*(x+4)Now solve for y
[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]
The slope intercept form is: y = (-1/2)x - 1============================================================
Problem 15, Part (a)
Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.
We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D
5x+2y = D
D = 5x+2y
D = 5(0)+2(10)
D = 20
The equation 5x+2y = D updates to 5x+2y = 20
Answer: 5x+2y = 20============================================================
Problem 15, Part (b)
If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.
The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.
2x-5y = D
D = 2x-5y
D = 2(0)-5(10)
D = -50
Answer: 2x-5y = -504 x ( 2 + 5 )^2 - 5^2
Order the numbers –0.5, 1.25, 0.75, and –1.08 from least to greatest.
Answer:
Least to greatest
0.75 , 1.25 , -1. 08 , -0. 5
Step-by-step explanation:
Hope my answer helps you
Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answer:
a
Step-by-step explanation:
Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation
Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode
Outliers are usually large or very low values, and they always affect the mean of the dataset.
Also, they affect the range of the dataset.
The standard deviation is dependent on the mean of the dataset.
This means that, outliers would also have effects on the standard deviation.
However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.
Hence, the true options are mode and median
Read more about outliers at:
https://brainly.com/question/23461655
a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
Please help with this other question
Answer:
pink and green same shape, but pink 7 units lower than green
Step-by-step explanation:
Both f(x) and f'(x) equations are the same except that f'(x) has the term "-7" at the end, denoting that the whole graph has been shifted down by 7 units. In other words, there is a vertical translation by -7. And since f'(x) is the pink graph, choose the option in which green and pink have the exact same shape but pink is located 7 units lower than the green.
what is the intercepts of the line?
x-intercept and y-intercept
4x-1=3y+5
Answer: X (3/2,0) Y (0,-2)
Step-by-step explanation:
simplify 5/13 ( 75 - 49)
Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D
Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The third side of the Triangle should be greater than the difference of other two sides, so
[tex]x > 14 - 10[/tex][tex]x > 4[/tex]And, The third side should be less than the sum of other two sides that is ~
[tex]x < 14 + 10[/tex][tex]x < 24[/tex]Considering these two inequalities, we get ~
[tex]4 < x < 24[/tex]Which of the following best describes a ratio?
Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
Learn more on ratios:
https://brainly.com/question/2328454
passez une bonne journée points faciles 2+2=?
Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
Hi guys im stuck on this maths question
(2/5)^-3
Answer:
15.625
Step-by-step explanation:
Answer:
[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]
Mr. and Mrs. Bruce took a boat trip which left Cala for Friends’ Island at 11:45 in the morning. The trip lasted for 1 hour and 20 mins. When did they arrive at Friends’ Island?
Find the first partial derivatives of the function.
z = (6x + 2y)^9
dz/dx=
dz/dy=
If z = (6x + 2y)⁹, then the partial derivatives of z are
• with respect to x :
∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x
∂z/∂x = 9 (6x + 2y)⁸ • 6
∂z/∂x = 54 (6x + 2y)⁸
• with respect to y :
∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y
∂z/∂y = 9 (6x + 2y)⁸ • 2
∂z/∂y = 18 (6x + 2y)⁸
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.